Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Anderson, Subprojectable and locally flat lattice ordered groups, Dissertation, Kansas University (1977).
A. Bigard, Contribution a la theorie des groupes reticules, Thesis, University of Paris (1969).
R. Byrd, "Archimedean closures in lattice ordered groups," Canad. J. Math. 21 (1969) 1004–1011. (MR 39 #6804)
—, "Complete distributivity in lattice ordered groups," Pacific J. Math. 26 (1967) 423–432. (MR 34 #7680)
R. Byrd and T. Lloyd, "Closed subgroups and complete distributivity in lattice ordered groups," Math. Zeitschr. 101 (1967) 123–130. (MR 36 #1371)
—, "Kernels in lattice ordered groups," Proc. Amer. Math. Soc. 57 (1976) 16–18. (MR 53 #10686)
R. Bleier and P. Conrad, "The lattice of closed ideals and a*-extensions of an abelian l-group," Pacific J. Math. 47 (1973) 329–340. (MR 48 #3833)
—, "a*-closures of lattice ordered groups," Trans. Amer. Math. Soc. 209 (1975) 367–387. (MR 53 #7892)
P. Conrad, "Some structure theorems for lattice ordered groups," Trans. Amer. Math. Soc. 99 (1961) 212–240. (MR 22 #12143)
—, J. Harvey and C. Holland, "The Hahn embedding theorem for abelian lattice ordered groups," Trans. Amer. Math. Soc. 108 (1963) 143–169. (MR 27 #1519)
—, "The relationship between the radical of a lattice ordered group and complete distributivity," Pacific J. Math. 14 (1964) 493–499. (MR 29 #3556)
—, "The lattice of all convex l-subgroups of a lattice ordered groups," Czech. Math. J. 15 (1965) 101–123. (MR 30 #3926)
—, "Archimedean extensions of lattice-ordered groups," J. Indian Math. Soc. 30 (1966) 131–160. (MR 37 #118)
—, "A characterization of lattice ordered groups by their convex l-subgroups," J. Australian Math. Soc. 7 (1967) 145–159, (MR 35 #5371)
—, "The lateral completion of a lattice ordered group," Proc. London Math. Soc. 19 (1969) 444–480. (MR 39 #5442)
—, "The essential closure of an archimedean lattice ordered group," Duke Math. J. 38 (1970) 151–160. (MR 43 #3190)
—, Lattice ordered groups, Lecture notes, Tulane Math. Library (1970).
—, "The hulls of representable l-groups and f-rings," J. Australian Math. Soc. 16 (1973) 385–415.
—, "Changing the scalar multiplication on a vector lattice," J. Australian Math. Soc. 20 (1975) 332–347. (MR 52 #13563)
—, "Torsion radicals of lattice ordered groups," Symposia Math. 21 Academic Press (1977) 479–513. (MR 57 #5885)
—, "Minimal prime subgroups of lattice ordered groups," to appear.
—, "The structure of an l-group that is determined by its minimal prime subgroups," to appear.
A. Glass, C. Holland and S. McCleary, "a*-closures of completely distributive lattice ordered groups," Pacific J. Math. 59 (1975) 43–67. (MR 52 #7994)
J. Jakubic, "Radical mappings and radical classes of lattice ordered groups," Symposia Math. Academic Press (1977) 451–477. (MR 58 #10653)
—, "Archimedean kernel of a lattice ordered group," Czech. Math. J. 28 (1978) 140–159.
O Kenny, Lattice ordered groups, Dissertation, Kansas University (1975).
J. Martinez, "Torsion theory for lattice ordered groups," Czech. Math. J. 25 (1975) 284–298. (MR 52 #10537)
—, The general theory of torsion classes for lattice ordered groups, Lecture notes.
S. McCleary, "The closed prime subgroups of certain ordered permutation groups," Pacific J. Math. 31 (1969) 745–754. (MR 42 #1736)
R. Redfield, "Archimedean and basic elements in completely distributive lattice ordered groups," Pacific. J. Math. 63 (1976) 247–253.
S. Wolfenstein, Contribution a 1 etude des groups reticules, Thesis, University of Paris (1970).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Conrad, P. (1981). K-radical classes of lattice ordered groups. In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090566
Download citation
DOI: https://doi.org/10.1007/BFb0090566
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10573-2
Online ISBN: 978-3-540-38549-3
eBook Packages: Springer Book Archive